Discriminantal arrangement, \(3{\times}3\) minors of Plücker matrix and hypersurfaces in Grassmannian \(\mathrm{Gr}(3, n)\)

DOI10.1016/j.crma.2017.10.011zbMath1379.52027arXiv1705.06239OpenAlexW2614544657MaRDI QIDQ1681545

Simona Settepanella, Sumire Sawada, So Yamagata

Publication date: 23 November 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06239

zbMATH Keywords

Grassmannianshyperplane arrangements, discriminantal arrangements

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (5)

Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ A classification of combinatorial types of discriminantal arrangements ⋮ Parallel translates of represented matroids ⋮ Pappus's Theorem in Grassmannian Gr(3, ℂ^n) ⋮ On the non-very generic intersections in discriminantal arrangements

Cites Work

• Divisorial cohomology vanishing on toric varieties
• Concurrence geometries
• Adjoints of oriented matroids
• Braided monoidal 2-categories and Manin-Schechtman higher braid groups
• Discriminantal arrangements, fiber polytopes and formality
• The largest intersection lattice of a discriminantal arrangement
• A Note on Discriminantal Arrangements
• Strata of discriminantal arrangements
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